论文标题
在直接产品上，群体素和部分作用的半程产物
On direct product, semidirect product of groupoids and partial actions
论文作者
论文摘要
我们将一些群体的构造呈现为：直接产物，半向产品，并且我们提供了必要和足够的条件，使群体可以嵌入到群体的直接产物中。同样，我们建立了必要和足够的条件，以确定何时直接直接产品。此外，我们在严格的部分组动作的类别与Star Injementive函数的类别之间建立了等效性。最后，我们给出了x的普遍全球化，给出了动作群（g，x）和（g，y）之间的分类类型的关系。
We present some constructions of groupoids as: direct product, semidirect product, and we give necessary and sufficient conditions for a groupoid to be embedded into a direct product of groupoids. Also, we establish necessary and sufficient conditions to determine when a semidirect product is direct. Moreover, we establish an equivalence between the category of strict partial groupoid actions and the category of star injective functors. Finally, we give a relation of categorical type between the actions groupoids (G, X) and (G, Y), being Y a universal globalization of X.
